Finding the Third Proportional to 208,140 and 309,904

Step by Step Solution

1. Step 1: Write the proportion equation
   208,140 : 309,904 = 309,904 : x
2. Step 2: Convert to fraction form
   208,140/309,904 = 309,904/x
3. Step 3: Cross multiply
   208,140x = 309,904 × 309,904
4. Step 4: Simplify right side
   208,140x = 96,040,489,216
5. Step 5: Solve for x
   x = 96,040,489,216/208,140
6. Step 6: Final answer
   x = 461,422.55